Siegel theta series for indefinite quadratic forms
Number Theory
2021-06-25 v2
Abstract
The modular transformation behavior of theta series for indefinite quadratic forms is well understood in the case of elliptic modular forms due to Vign\'eras, who deduced that solving a differential equation of second order serves as a criterion for modularity. In this paper, we will give a generalization of this result to Siegel theta series.
Cite
@article{arxiv.2009.08230,
title = {Siegel theta series for indefinite quadratic forms},
author = {Christina Roehrig},
journal= {arXiv preprint arXiv:2009.08230},
year = {2021}
}
Comments
v2: 23 pages, incorporating referee's comments: minor errors fixed and major structural changes